Fluorescence molecular tomography (FMT) is developing rapidly in the field of molecular imaging. FMT has been
used in surgical navigation for tumor resection and has many potential applications at the physiological, metabolic, and
molecular levels in tissues. Due to the ill-posed nature of the problem, many regularized methods are generally adopted.
In this paper, we propose a region reconstruction method for FMT in which the trace norm regularization. The trace
norm penalty was defined as the sum of the singular values of the matrix. The proposed method adopts a priori
information which is the structured sparsity of the fluorescent regions for FMT reconstruction. In order to improve the
solution efficiency, the accelerated proximal gradient algorithms was used to accelerate the computation. The
numerical phantom experiment was conducted to evaluate the performance of the proposed trace norm regularization
method. The simulation study shows that the proposed method achieves accurate and is able to reconstruct image
Yuhao Liu, Jie Liu, Yu An, Shixin Jiang, Jinzuo Ye, Yamin Mao, Kunshan He, Guanglei Zhang, Chongwei Chi, and Jie Tian, "Novel trace norm regularization method for fluorescence molecular tomography reconstruction," Proc. SPIE 10047, Optical Methods for Tumor Treatment and Detection: Mechanisms and Techniques in Photodynamic Therapy XXVI, 100470U (Presented at SPIE BiOS: January 29, 2017; Published: 8 February 2017); https://doi.org/10.1117/12.2251688.
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